To do this, first start with what you are given. You are given that there is a fixed, or permanent cost of 200 dollars. You are also given that the shirts cost 3$ each. You produce 6 shirts so the equation is 200+3(6)=X. Hope this helps!
Answer:
y = 28
Step-by-step explanation:
1/4y=7 | Given
y = 28 | Multiplicative property of equality (multiply 7 by the denominator of 1/4y)
Answer:
0.38% probability that the sample contains exactly two defective parts.
Step-by-step explanation:
For each part, there are only two possible outcomes. Either it is defective, or it is not. The probabilities for each part being defective are independent from each other. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
In this problem we have that:
![n = 5, p = 0.02](https://tex.z-dn.net/?f=n%20%3D%205%2C%20p%20%3D%200.02)
What is the probability that the sample contains exactly two defective parts?
This is ![P(X = 2)](https://tex.z-dn.net/?f=P%28X%20%3D%202%29)
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 2) = C_{5,2}.(0.02)^{2}.(0.98)^{3} = 0.0038](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20C_%7B5%2C2%7D.%280.02%29%5E%7B2%7D.%280.98%29%5E%7B3%7D%20%3D%200.0038)
0.38% probability that the sample contains exactly two defective parts.
Answer:
Step-by-step explanation:
length = 25 in
Perimeter = 86 in
2*(length + width) = 86
2*(25 + N) = 86
Divide both sides by 2
25 + N = 86/2
25 + N = 43
Subtract 25 from both sides
25 + N - 25 = 43 - 25
N = 18
Answer: 14
= 16 x (7/8)
= 8 goes into 16 2 times
= 2 x 7
= 14